The Trigonometric Polynomial Like Bernstein Polynomial
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Published:2014
Issue:
Volume:2014
Page:1-17
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ISSN:2356-6140
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Container-title:The Scientific World Journal
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language:en
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Short-container-title:The Scientific World Journal
Affiliation:
1. School of Mathematics and Statistics, Central South University, Changsha 410083, China
Abstract
A symmetric basis of trigonometric polynomial space is presented. Based on the basis, symmetric trigonometric polynomial approximants like Bernstein polynomials are constructed. Two kinds of nodes are given to show that the trigonometric polynomial sequence is uniformly convergent. The convergence of the derivative of the trigonometric polynomials is shown. Trigonometric quasi-interpolants of reproducing one degree of trigonometric polynomials are constructed. Some interesting properties of the trigonometric polynomials are given.
Funder
National Natural Science Foundation of China
Publisher
Hindawi Limited
Subject
General Environmental Science,General Biochemistry, Genetics and Molecular Biology,General Medicine
Cited by
2 articles.
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